4
practice testMultiple Choice

Practice Test

Question 4 • Algebra 2 with Probability

Fuaad solved an absolute value inequality and expressed the solution as negative 12 is less than x comma x is less than 7 What is another way to show Fuaad’s solution?

Answer
A
left parenthesis negative 12 comma 7 right bracket
B
the union of open paren infinity close paren and open paren 7 close paren
C
start set x such that x is greater than negative 12 or x comma negative 12 or x is less than 7 end set
D
start set x such that negative 12 is less than x comma x is less than 7 end set

Explanation

Fuaad’s solution says that x is greater than −12 and less than 7, so x lies strictly between those two numbers. In set-builder notation, that is {x such that −12 < x < 7}, which is choice D. The endpoints are not included, so the matching interval notation would be (−12, 7).

AI-written and checked against the verified answer.

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